The actual color a viewer sees on a screen is influenced by the specific type and amount of phosphors on the screen, So each computer screen manufacturer must convert between the $(R,G,B)$ data and an international CIE standard for color, which uses three primary colors, called $x,Y,$ and $Z.$ A typical conversion for short$-$persistence phosphors is shown to the right. A computer program will send a stream of color information to the screen, using standard CIE data $).$ Find the equation that converts these data to the $(R,G,B)$ data needed for the screen's electron gun.

and $Z.$ A typical conversion for short$-$persistence phosphors $is$ shown $to$ the right. A computer program will send a stream $of$ color information $to$

the screen, using standard CIE data $(x,Y,Z).$ Find the equation that converts these data $to$ the $(R,G,B)$ data needed for the screen's electron

gun.

$\left[\begin{array}{c}R\end{array}\right]$

$G$

$B=\left[\begin{array}{c}x\end{array}\right]$

$Y$

$Z$

$($Type an integer or decimal for each matrix element. Round to four decimal places as needed.$)$